Home / 1,532.87-2,115.38-834.24

Finding the Fourth Proportional to 1,532.87, 2,115.38 and 834.24

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Solution

The fourth proportional to 1,532.87, 2,115.38 and 834.24 is: 1,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.87 : 2,115.38 = 834.24 : x
  2. Step 2: Convert to fraction form
    1,532.87/2,115.38 = 834.24/x
  3. Step 3: Cross multiply
    1,532.87x = 2,115.38 × 834.24
  4. Step 4: Simplify right side
    1,532.87x = 1,764,730.44
  5. Step 5: Solve for x
    x = 1,764,730.44/1,532.87
  6. Step 6: Final answer
    x = 1,151.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.